# Question 7.5: A rectangular beam 300 mm deep is simply supported over a sp...

A rectangular beam 300 mm deep is simply supported over a span of 4 metres. Determine the uniformly distributed load per metre which the beam may carry, if the bending stress should not exceed 120 N/mm². Take $I = 8 × 10^6 mm^4.$

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Question: 7.20

## Prove that the moment of a resistance of a beam of square section, with its diagonal in the plane of bending is increased by flatting top and bottom corners as shown in Fig. 7.26 and that the moment of resistance is a maximum when y = 8a/9 . Find the percentage increase in moment of resistance also ...

Given : Fig. 7.26 (a) shows a square section with ...
Question: 7.22

## A flitched beam consists of a wooden joist 10 cm wide and 20 cm deep strengthened by two steel plates 10 mm thick and 20 cm deep as shown in Fig. 7.28. If the maximum stress in the wooden joist is 7 N/mm², find the corresponding maximum stress attained in steel. Find also the moment of resistance ...

Given : Let suffix 1 represent steel and suffix 2 ...
Question: 7.24

## Two rectangular plates, one of steel and the other of brass each 40 mm wide and 10 mm deep are placed together to form a beam 40 mm wide and 20 mm deep, on two supports 1 m apart, the brass plate being on the top of the steel plate. Determine the maximum load, which can be applied at the centre of ...

Given : Width of plates, b = 40 mm Depth of plates...
Question: 7.15

## A cast iron beam is of I-section as shown in Fig. 7.20. The beam is simply supported on a span of 5 metres. If the tensile stress is not to exceed 20 N/mm², find the safe uniformly load which the beam can carry. Find also the maximum compressive stress. ...

Given : Length of beam,                 L = 5 m Ma...
Question: 7.16

## A cast iron beam is of T-section as shown in Fig. 7.21. The beam is simply supported on a span of 8 m. The beam carries a uniformly distributed load of 1.5 kN/m length on the entire span. Determine the maximum tensile and maximum compressive stresses. ...

Given : Length,   L = 8 m U.D.L.,    w = 1.5 kN/m ...
Question: 7.17

## A simply supported beam of length 3 m carries a point load of 12 kN at a distance of 2 m from left support. The cross-section of the beam is shown in Fig. 7.22 (b). Determine the maximum tensile and compressive stress at X-X. ...

Given : Point load, W = 12 kN = 12000 N First find...
Question: 7.18

## Three beams have the same length, same allowable bending stress and the same bending moment. The cross-section of the beams are a square, rectangle with depth twice the width and a circle. Find the ratios of weights of the circular and the rectangular beams with respect to square beams. ...

Given : Fig. 7.24 shows a square, a rectangular an...
Question: 7.13

## A water main of 500 mm internal diameter and 20 mm thick is running full. The water main is of cast iron and is supported at two points 10 m apart. Find the maximum stress in the metal. The cast iron and water weigh 72000 N/m³ and 10000 N/m³ respectively. ...

Given : Internal dia.,          D_i= 500  m...
Question: 7.23